Does the relic of Yu'lon and the valor trinket share a cooldown?

I remember awhile ago reading that the Relic of Yu'lon shares a cooldown with every other Use trinket, but when I looked on wowhead, it said the valor trinket only shares a cooldown with the relic of Niuzao. Could anyone confirm this?

Yes, like any on-use trinket and eng on-use gloves, they do put each other on a small CD so you can't use them together. They don't activate the full CD for either of them when you use the other though